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Finding the Fourth Proportional to 306,038.74, 428,897.10 and 306,038.74

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Solution

The fourth proportional to 306,038.74, 428,897.10 and 306,038.74 is: 428,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,038.74 : 428,897.10 = 306,038.74 : x
  2. Step 2: Convert to fraction form
    306,038.74/428,897.10 = 306,038.74/x
  3. Step 3: Cross multiply
    306,038.74x = 428,897.10 × 306,038.74
  4. Step 4: Simplify right side
    306,038.74x = 131,259,127,001.41
  5. Step 5: Solve for x
    x = 131,259,127,001.41/306,038.74
  6. Step 6: Final answer
    x = 428,897.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.